OK, let's crack this. We're given 963 and our task is to multiply it by 63. Essentially, we'll be adding 963 to itself 63 times.
Step 1: 0 + 963 = 963
Step 2: 963 + 963 = 1926
Step 3: 1926 + 963 = 2889
Step 4: 2889 + 963 = 3852
Step 5: 3852 + 963 = 4815
Step 6: 4815 + 963 = 5778
Step 7: 5778 + 963 = 6741
Step 8: 6741 + 963 = 7704
Step 9: 7704 + 963 = 8667
Step 10: 8667 + 963 = 9630
Step 11: 9630 + 963 = 10593
Step 12: 10593 + 963 = 11556
Step 13: 11556 + 963 = 12519
Step 14: 12519 + 963 = 13482
Step 15: 13482 + 963 = 14445
Step 16: 14445 + 963 = 15408
Step 17: 15408 + 963 = 16371
Step 18: 16371 + 963 = 17334
Step 19: 17334 + 963 = 18297
Step 20: 18297 + 963 = 19260
Step 21: 19260 + 963 = 20223
Step 22: 20223 + 963 = 21186
Step 23: 21186 + 963 = 22149
Step 24: 22149 + 963 = 23112
Step 25: 23112 + 963 = 24075
Step 26: 24075 + 963 = 25038
Step 27: 25038 + 963 = 26001
Step 28: 26001 + 963 = 26964
Step 29: 26964 + 963 = 27927
Step 30: 27927 + 963 = 28890
Step 31: 28890 + 963 = 29853
Step 32: 29853 + 963 = 30816
Step 33: 30816 + 963 = 31779
Step 34: 31779 + 963 = 32742
Step 35: 32742 + 963 = 33705
Step 36: 33705 + 963 = 34668
Step 37: 34668 + 963 = 35631
Step 38: 35631 + 963 = 36594
Step 39: 36594 + 963 = 37557
Step 40: 37557 + 963 = 38520
Step 41: 38520 + 963 = 39483
Step 42: 39483 + 963 = 40446
Step 43: 40446 + 963 = 41409
Step 44: 41409 + 963 = 42372
Step 45: 42372 + 963 = 43335
Step 46: 43335 + 963 = 44298
Step 47: 44298 + 963 = 45261
Step 48: 45261 + 963 = 46224
Step 49: 46224 + 963 = 47187
Step 50: 47187 + 963 = 48150
Step 51: 48150 + 963 = 49113
Step 52: 49113 + 963 = 50076
Step 53: 50076 + 963 = 51039
Step 54: 51039 + 963 = 52002
Step 55: 52002 + 963 = 52965
Step 56: 52965 + 963 = 53928
Step 57: 53928 + 963 = 54891
Step 58: 54891 + 963 = 55854
Step 59: 55854 + 963 = 56817
Step 60: 56817 + 963 = 57780
Step 61: 57780 + 963 = 58743
Step 62: 58743 + 963 = 59706
Step 63: 59706 + 963 = 60669

So, 963*63 = 60669